Torus Actions on Symplectic Manifolds, Mich?le Audin

Автор: Gert Sabidussi; Jacques Hurtubise; Fran?ois Lalond
Название: Gauge Theory and Symplectic Geometry
ISBN: 0792345002 ISBN-13(EAN): 9780792345008
Издательство: Springer
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Описание: Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. This book includes some of the first expository material of Seiberg-Witten theory, which has revolutionized the subjects since its introduction in late 1994.

Автор: Michele Audin; Jacques Lafontaine
Название: Holomorphic Curves in Symplectic Geometry
ISBN: 3034896565 ISBN-13(EAN): 9783034896566
Издательство: Springer
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Автор: Yiming Long
Название: Index Theory for Symplectic Paths with Applications
ISBN: 303489466X ISBN-13(EAN): 9783034894661
Издательство: Springer
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Описание: This book gives an introduction to index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear Hamiltonian systems.

Автор: B. Aebischer; M. Borer; M. K?lin; C. Leuenberger;
Название: Symplectic Geometry
ISBN: 3034875142 ISBN-13(EAN): 9783034875141
Издательство: Springer
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Описание: The seminar Symplectic Geometry at the University of Berne in summer 1992 showed that the topic of this book is a very active field, where many different branches of mathematics come tog9ther: differential geometry, topology, partial differential equations, variational calculus, and complex analysis.

Автор: Clifford Henry Taubes
Название: Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds
ISBN: 1571460616 ISBN-13(EAN): 9781571460615
Издательство: Oxford Academ
Цена: 5378.00 р.
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Описание: This work offers the proof of the remarkable relationship between Seiberg-Witten and Gromov invariants on symplectic 4-manifolds. It is a companion to "Topics on Symplectic 4-Manifolds" published in 1998 and brings together articles published in two American journals.

Автор: Alesky Tralle; John Oprea
Название: Symplectic Manifolds with no Kaehler structure
ISBN: 3540631054 ISBN-13(EAN): 9783540631057
Издательство: Springer
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Описание: This research monograph covers the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure, emphasising the use of rational homotopy theory. The reader should be familiar with differential geometry and algebraic topology at graduate level.

Автор: Leonid Polterovich
Название: The Geometry of the Group of Symplectic Diffeomorphism
ISBN: 3764364327 ISBN-13(EAN): 9783764364328
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Описание: The group of Hamiltonian diffeomorphisms Ham(M, 0) of a symplectic mani fold (M, 0) plays a fundamental role both in geometry and classical mechanics. They turn out to be very different from the usual circle of problems considered in symplectic topology and thus extend significantly our vision of the symplectic world.

Автор: N.P. Landsman; Markus Pflaum; Martin Schlichenmaie
Название: Quantization of Singular Symplectic Quotients
ISBN: 3764366087 ISBN-13(EAN): 9783764366087
Издательство: Springer
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Описание: An exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. It provides the reader with an overview of research approaches that involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry.

Автор: P. Libermann; Charles-Michel Marle
Название: Symplectic Geometry and Analytical Mechanics
ISBN: 9027724385 ISBN-13(EAN): 9789027724380
Издательство: Springer
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Описание: Further, the kind and level of sophistication of mathematics applied in various sci- ences has changed drastically in recent years: measure theory is used (non-trivially) in re- gional and theoretical economics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory;

Автор: Helmut Hofer; Eduard Zehnder
Название: Symplectic Invariants and Hamiltonian Dynamics
ISBN: 3034896719 ISBN-13(EAN): 9783034896719
Издательство: Springer
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Описание: One of the links is a class of sympletic invariants, called sympletic capacities, and these invariants are the main theme of this book. Topics covered include basic sympletic geometry, sympletic capacities and rigidity, sympletic fixed point theory, and a survey on Floer homology and sympletic homology.

Автор: N.P. Landsman; Markus Pflaum; Martin Schlichenmaie
Название: Quantization of Singular Symplectic Quotients
ISBN: 3034895356 ISBN-13(EAN): 9783034895354
Издательство: Springer
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Описание: This is the first exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. These involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry.

Автор: Izu Vaisman
Название: Symplectic Geometry and Secondary Characteristic Classes
ISBN: 1475719620 ISBN-13(EAN): 9781475719628
Издательство: Springer
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Описание: Tondeur (43], and it indicates that the Maslov class is a secondary characteristic class of a complex trivial vector bundle endowed with a real reduction of its structure group. Arnold about the Maslov class (2], it is also pointed out without details that the Maslov class is characteristic in the category of vector bundles mentioned pre- viously.